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人気のある三角関数 >

cot(38)=tan(2x)

解

cot (3 8^{\circ}) = tan (2 x)

解

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

+1

ラジアン

x = \frac{13 π}{90} + \frac{π}{2} n

解答ステップ

cot (3 8^{\circ}) = tan (2 x)

辺を交換する

tan (2 x) = cot (3 8^{\circ})

三角関数の逆数プロパティを適用する

tan (2 x) = cot (3 8^{\circ})

以下の一般解

tan (2 x) = cot (3 8^{\circ})

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

解く

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n : x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

簡素化

arctan (cot (3 8^{\circ})) + 18 0^{\circ} n : 5 2^{\circ} + 18 0^{\circ} n

arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

arctan (cot (3 8^{\circ})) = 5 2^{\circ}

arctan (cot (3 8^{\circ}))

三角関数の公式を使用して書き換える:

cot (3 8^{\circ}) = tan (5 2^{\circ})

cot (3 8^{\circ})

tan (9 0^{\circ} - x) = cot (x)

= tan (9 0^{\circ} - 3 8^{\circ})

= tan (5 2^{\circ})

= arctan (tan (5 2^{\circ}))

逆三角関数の性質を使用します:

5 2^{\circ}

arctan (tan (5 2^{\circ}))

- 9 0^{\circ} < x < 9 0^{\circ}

向けに

, a rc t an (t an (x)) = x

- 9 0^{\circ} < 5 2^{\circ} < 9 0^{\circ}

= 5 2^{\circ}

= 5 2^{\circ}

= 5 2^{\circ} + 18 0^{\circ} n

2 x = 5 2^{\circ} + 18 0^{\circ} n

以下で両辺を割る

2

2 x = 5 2^{\circ} + 18 0^{\circ} n

以下で両辺を割る

2

\frac{2 x}{2} = \frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

簡素化

\frac{2 x}{2} = \frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

簡素化

\frac{2 x}{2} : x

\frac{2 x}{2}

数を割る:

\frac{2}{2} = 1

= x

簡素化

\frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2} : 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

\frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

\frac{5 2 ^{\circ}}{2} = 2 6^{\circ}

\frac{5 2 ^{\circ}}{2}

分数の規則を適用する:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{234 0 ^{\circ}}{45 \cdot 2}

数を乗じる:

45 \cdot 2 = 90

= 2 6^{\circ}

= 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

グラフ

人気の例

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